How can I use arrayfun and integral as anonymous function?

Question

work wolf 2021-6-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/853015-how-can-i-use-arrayfun-and-integral-as-anonymous-function

评论： work wolf 2021-6-11

t=0:0.1:1;
v=0.2;
fun1=@(s,t) s .* exp(-s).* ( (t-s) .^(v-1) ) ; 
%gex= @(t) arrayfun(@(t) integral (@(s) fun1(s,t) ,0,t), t);
if t==0
    gex= @(t) 0;
else
    gex= @(t) arrayfun(@(t) integral (@(s) fun1(s,t) ,0,t), t);
end

How do I exclude input

t=0

and make it into a new value inside the matrix namely, gex, i.e, gives

gex(t)

as one matrix and set the value of

gex(t(1))=0

in same time?

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David Hill 2021-6-10

I have no idea what you are trying to do. What is the array t?

work wolf 2021-6-10

编辑：work wolf 2021-6-10

I edited a question to define t

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Answer 1

David Hill 2021-6-10

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https://ww2.mathworks.cn/matlabcentral/answers/853015-how-can-i-use-arrayfun-and-integral-as-anonymous-function#answer_721770

在 MATLAB Online 中打开

I am doing a little guessing. I assume you want to integrate with respect to s (0,t) then look at t from 0:0.1:1.

syms s t
v=0.2;
fun=s*exp(-s)*(t-s)^(v-1);
fun1=int(fun,s,0,t);
n=0:.1:1;
for k=1:length(n)
    b(k)=vpa(subs(fun1,t,n(k)));
end

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David Hill 2021-6-10

在 MATLAB Online 中打开

Works, but does not get exact answers. Answers good for several decimal places.

v=0.2;
t=0:.1:1;
fun1=zeros(1,length(t));
for k=2:length(t)
 fun=@(s)s.*exp(-s).*(t(k)-s).^(v-1);
 fun1(k)=integral(fun,0,t(k));
end

work wolf 2021-6-11

Thanks, do you have another idea to exclude zero, i.e output NaN, as anonymous function?

The problem when substitution zero, gives NaN. That is, (t-s).^(v-1) gives (t-s).^(-0.8). So, i am thinking to make two anonymous function, the first, t>0 and another t==0.

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Answer 2

Kapil Gupta 2021-6-10

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/853015-how-can-i-use-arrayfun-and-integral-as-anonymous-function#answer_721755

I assume you want to know how you can use integral function as anonymous function. The following MATLAB Answers link has a similar query, you can check this out:

https://in.mathworks.com/matlabcentral/answers/159033-integration-of-a-multiple-anonymous-function